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Finding the Fourth Proportional to 1,801.59, 2,487.34 and 1,470.80

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Solution

The fourth proportional to 1,801.59, 2,487.34 and 1,470.80 is: 2,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.59 : 2,487.34 = 1,470.80 : x
  2. Step 2: Convert to fraction form
    1,801.59/2,487.34 = 1,470.80/x
  3. Step 3: Cross multiply
    1,801.59x = 2,487.34 × 1,470.80
  4. Step 4: Simplify right side
    1,801.59x = 3,658,379.67
  5. Step 5: Solve for x
    x = 3,658,379.67/1,801.59
  6. Step 6: Final answer
    x = 2,030.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.